Problema Solution

Write an equation of a line that has the same slope as 4x-10y=20 and the same y-intercept as 4y+24=5x

Answer provided by our tutors

First, we will find the slope of 4x-10y=20:

4x-10y=20

solving for y we get:

y = (2/5)x - 1

The slope is m = 2/5.

Next we will find the y-intercept of 4y+24=5x:

4y+24=5x

by solving for x = 0 we get:

4y + 24 = 0

y = -24/6

y = -4

this means that b = -4

The equations of the line is:

y = mx + b

y = (2/5)x - 4